Fasteners are manufactured for an application involving aircraft. Each fastener is categorized either as conforming (suitable for its intended use), downgraded (unsuitable for its intended use but usable for another purpose), and scrap (not usable). It is thought that  85% of the fasteners are conforming, while 10% are downgraded and 5% are scrap. In a sample of 500 fasteners, 405 were conforming, 55 were downgraded, and 40 were scrap. Determine whether or not the true percentages differ from 85%, 10% and 5%?               Which model best fit the above problem and why?                    Suggest any assumption you would make in choosing the above model and why?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Fasteners are manufactured for an application involving aircraft. Each fastener is categorized either as conforming (suitable for its intended use), downgraded (unsuitable for its intended use but usable for another purpose), and scrap (not usable). It is thought that  85% of the fasteners are conforming, while 10% are downgraded and 5% are scrap. In a sample of 500 fasteners, 405 were conforming, 55 were downgraded, and 40 were scrap.

  1. Determine whether or not the true percentages differ from 85%, 10% and 5%?              
  2. Which model best fit the above problem and why?                   
  3. Suggest any assumption you would make in choosing the above model and why?                                      

 

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